Becker's assortative assignments: stability and fairness

Inspired by Roth and Sotomayor we make a deeper mathematical study of the a ssortative matching markets defined by Becker, finding explicit results on stability and fairness. We note that in the limit, when the size of the mar ket tends to infinity. we obtain the continuous model of Sattinger and retr ieve his characterization of the core of the game in this limit case. We al so find that the most egalitarian core solution for employees is the employ er-optimal assignment. (C) 2000 Elsevier Science B.V. All rights reserved.